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Finding the Fourth Proportional to 30,990.50, 42,761.60 and 17,558.98

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Solution

The fourth proportional to 30,990.50, 42,761.60 and 17,558.98 is: 24,228.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,990.50 : 42,761.60 = 17,558.98 : x
  2. Step 2: Convert to fraction form
    30,990.50/42,761.60 = 17,558.98/x
  3. Step 3: Cross multiply
    30,990.50x = 42,761.60 × 17,558.98
  4. Step 4: Simplify right side
    30,990.50x = 750,850,079.17
  5. Step 5: Solve for x
    x = 750,850,079.17/30,990.50
  6. Step 6: Final answer
    x = 24,228.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.